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  Exotic states induced by coevolving connection weights and phases in complex networks

Thamizharasan, S., Chandrasekar, V. K., Senthilvelan, M., Berner, R., Schöll, E., Senthilkumar, D. V. (2022): Exotic states induced by coevolving connection weights and phases in complex networks. - Physical Review E, 105, 3, 034312.
https://doi.org/10.1103/PhysRevE.105.034312

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Thamizharasan, S.1, Author
Chandrasekar, V. K.1, Author
Senthilvelan, M.1, Author
Berner, Rico1, Author
Schöll, Eckehard2, Author              
Senthilkumar, D. V.1, Author
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1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: We consider an adaptive network, whose connection weights coevolve in congruence with the dynamical states of the local nodes that are under the influence of an external stimulus. The adaptive dynamical system mimics the adaptive synaptic connections common in neuronal networks. The adaptive network under external forcing displays exotic dynamical states such as itinerant chimeras whose population density of coherent and incoherent domains coevolves with the synaptic connection, bump states, and bump frequency cluster states, which do not exist in adaptive networks without forcing. In addition, the adaptive network also exhibits partial synchronization patterns such as phase and frequency clusters, forced entrained, and incoherent states. We introduce two measures for the strength of incoherence based on the standard deviation of the temporally averaged (mean) frequency and on the mean frequency to classify the emergent dynamical states as well as their transitions. We provide a two-parameter phase diagram showing the wealth of dynamical states. We additionally deduce the stability condition for the frequency-entrained state. We use the paradigmatic Kuramoto model of phase oscillators, which is a simple generic model that has been widely employed in unraveling a plethora of cooperative phenomena in natural and man-made systems.

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Language(s): eng - English
 Dates: 2022-03-282022-03
 Publication Status: Finally published
 Pages: 11
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevE.105.034312
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
OATYPE: Green Open Access
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Title: Physical Review E
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 105 (3) Sequence Number: 034312 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/150218
Publisher: American Physical Society (APS)